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21660540 = 22351137887
BaseRepresentation
bin101001010100…
…0001101111100
31111202110200020
41102220031330
521021114130
62052132140
7352053156
oct122501574
944673606
1021660540
1111254980
127307050
1346451b5
142c3bad6
151d7ce10
hex14a837c

21660540 has 96 divisors (see below), whose sum is σ = 68027904. Its totient is φ = 5103360.

The previous prime is 21660523. The next prime is 21660559. The reversal of 21660540 is 4506612.

It is a self number, because there is not a number n which added to its sum of digits gives 21660540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23977 + ... + 24863.

It is an arithmetic number, because the mean of its divisors is an integer number (708624).

Almost surely, 221660540 is an apocalyptic number.

21660540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21660540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34013952).

21660540 is an abundant number, since it is smaller than the sum of its proper divisors (46367364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21660540 is a wasteful number, since it uses less digits than its factorization.

21660540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 21660540 is about 4654.0885251572. The cubic root of 21660540 is about 278.7552741533.

It can be divided in two parts, 21660 and 540, that multiplied together give a square (11696400 = 34202).

The spelling of 21660540 in words is "twenty-one million, six hundred sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 887 1110 1221 1628 1774 2035 2220 2442 2661 3548 4070 4435 4884 5322 6105 8140 8870 9757 10644 12210 13305 17740 19514 24420 26610 29271 32819 39028 48785 53220 58542 65638 97570 98457 117084 131276 146355 164095 195140 196914 292710 328190 361009 393828 492285 585420 656380 722018 984570 1083027 1444036 1805045 1969140 2166054 3610090 4332108 5415135 7220180 10830270 21660540